If y = e2 then y = e² Select one: O True O False

Q: In Exercises 7–12, find the indicated derivatives. dr 8. if r= s - 252 + 3 ds

A: Topic:- derivatives

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Q: cos x dx sin? x cos 4.

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Q: Given: cos a=, sin B= , and a and Bare first-quadrant angles; find cos(+ B). -33/65 16/65 1/3

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Q: Identify the most appropriate differentiation rules to be used in finding the derivative of the foll...

A: 1) y=π 2)f(x)=(x2+3)+(2x-5) 3)y=(x2-3x)10

Q: 2. xcos²y dx + tanydy = 0

A: The given differential equation is; xcos2y dx+tany dy=0 Repost the next questions.

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Q: ind the first and second derivative of the function. G(r) = Vr + Vr S'(r) "(") %D

A: Given query is to find the indicated derivatives.

Q: a ball is thrown into the air with a velocity of 42 ft/s, its height in feet t seconds later is give...

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Q: The formula for cos(at B) is cos a cos B - sin a sin B cos a cos B + sin asin B sin a sin B - cos a ...

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Q: 13 Given: cosa = and a is located in the fourth quadrant; find sin 2e. %3D -8/25 -24/25 -6/25

A: Trigonometry

Q: Let r be the function defined by r(t) = (/10sen t,t, /10 cos t) where the coordinates of r(t) are me...

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Q: The formula for cos(a- B) is sin a sin B- cos a cos B cos a cos B + sin a sin B cos a cos B - sin a ...

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Q: rocket is fired vertically upward from the ground. The distance s in feet that the rocket travels fr...

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Q: a. Determine an equation of the tangent line and the normal line at the given point on the curve. b....

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Q: A rope passing through a capstan on a dock is attached to a boat offshore. The rope is pulled in at ...

A: The given data is: The rope is pulled in at a constant rate of 2 ft/s, and the capstan is 4 ft verti...

Q: Identify the most appropriate differentiation rules to be used in finding the derivative of the foll...

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: 8,10 The expression log 26 can be written in the form A log(x) + Blog(y) + C log(z) where A B = and ...

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Q: Select the best answer. sin x 1+ cosx + sin x 1+ cosx

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Q: A particle moves according to a law of motion s = f(t), t 2 0, where t is measured in seconds and s ...

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Q: Identify the most appropriate differentiation rules to be used in finding the derivative of the foll...

A: Using product rule differentiate. 

Q: The displacement (in centimeters) of a particle moving back and forth along a straight line is given...

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Q: Differentiating Implicitly Use implicit differentiation to find dy/dx in Exercises 1–14. 6. (3xy + 7...

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Q: Question Prove that if AUB= A is true, then An B = B is also true, AND CONVERSELY. ||

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Q: If f(x) = 6*2X, then f"(x) = %3D %3D Select one: a. 6*2% (In (2))2 O b. 36 *2% (In (2))2 O c. 6* 4x ...

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Q: The position of the particle at time t is given by s(t) = t - 10t + 24. The particle is moving from ...

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Q: The voltage V across a resistor in an electric circuit is the product of the resistance and the curr...

A: We have to find dv/dt at t=5 seconds.

Q: A particle is moving on xy-plane with position at time t given by ~p(t) = (t2 + 4t,sin (t + π)). a....

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Q: f) =e find the equation for the tangent line to f(x) at =0 For the toolbar, press ALT+F10 (PC) or AL...

A: To find the tangent to the following curve

Q: Solve using variation of parameters: y" + 5y' + 4y = 2e¬* 1. Find yc 2. Find u1 & u2 3. Find yp

A: See the details solution in below

Q: Calculate the derivative. y= cos x In (cos ?x) y' =D (Use parentheses to clearly denote the argument...

A: Given query is to find the derivative of the expression.

Q: The region bounded by y = e", y = 0, z = -2,z = 0 is rotated around the z-axis. Find the volume. vol...

A: Given: - The region bounded by y=ex,y=0,x=-2,x=0 is rotated around the x-axis, To find: - The volume...

Q: Simplify. Express in terms of tangent and/or cotangent. tan“ x+1 V cot? x+1 cotx tan 4x tanx

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Q: If s(t) = 10: – 15t2 – 60t + 5, represent the position of a particle traveling along a horizontal li...

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Q: Зx-1 dx; х*+10х+28

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Q: Find the logarithm. log, (4)- Question Help: D Video Message instructor D Post to forum Submit Quest...

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Q: Let the function f be defined by tan(x) – 1 (x) sec(x) (a) Use the Quotient Rule to differentiate th...

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Q: Given (x³ + y² + 7)* = 4x + 3y + 9, (a) find y', (b) find the equation of the tangent line at (-2,0)...

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Q: Given the function y= 2x - 3x- 5x+ 1, which finite differences will be equal (or constant)? a) first...

A: Find your answer below 

Q: the error estimate for Taylor polyno

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Q: Give an example of a function that is continuous on -∞ < x < o but is not differentiable at x = 3.

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Q: Find the equation of the tangent line to the curve of f(x) = x3 - 4x + 5 at the point (2, 5). O a. y...

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Q: Evaluate the integrals that converge, enter 'DNC' if integral Does Not Converge. 8. dx

A: To evaluate the integral ∫018x3dx  Concept used: Power rule of differentiation. ∫xn=xn+1n+1+c  

Q: The position of the particle at time t is given by s(t) – t- 16t + 63. The particle is moving from r...

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Q: Given the following function f(x,y) and a positive number ɛ, find the largest possible value of ô >0...

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Q: 1) Find parametric equations for the line which contains A(2,0, 1) and B(-1,1, –1).

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Q: implify the difference quotient by rationalizing the numerator. Vz - 8 - Vz 8 ead more about Topic 1...

A: We have to find rationalization

Q: Find the linearization L(x) of f(x) at x=a. f(x)=x/2x+9 a=0

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Q: Use the binomial series to find the Maclaurin series for the function. f(x) = V1 + x 4 %3D 00 1 f(x)...

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Q: Identify the most appropriate differentiation rules to be used in finding the derivative of the foll...

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